Find the radius of a circle in which a sector with central angle 45° has area 154 cm2. (Use $π=\frac{22}{7}$)
Answer & explanation
Correct answer: option 1
Area of a circle = 154 cm2
Central angle = 45o
According to the question,
Area of a circle = \(\frac{θ}{360}\) × πr2
= \(\frac{45}{360}\) × \(\frac{22}{7}\) × r2 = 154
= r2 = 392
r = $14\sqrt{2}$ cm